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Finding the Fourth Proportional to 548.20, 816.17 and 548.20

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Solution

The fourth proportional to 548.20, 816.17 and 548.20 is: 816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.20 : 816.17 = 548.20 : x
  2. Step 2: Convert to fraction form
    548.20/816.17 = 548.20/x
  3. Step 3: Cross multiply
    548.20x = 816.17 × 548.20
  4. Step 4: Simplify right side
    548.20x = 447,424.39
  5. Step 5: Solve for x
    x = 447,424.39/548.20
  6. Step 6: Final answer
    x = 816.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.